As a new type Fourier transform imaging spectrometry,large aperture static imaging spectrometry (LASIS) has come forth in recent years,which has many advantages such as simple principle,high stability and so on. However,the requirement for the optical system design of LASIS was very harsh. As one of the optical aberrations,optical distortion degrades the data quality acquired by LASIS,consequently limits its applications. According to the analysis of the data acquisition principle of LASIS,the data model with the effect of optical distortion was presented,which could be used for LASIS performance pre-evaluation. Finally,the computer simlulation of the data model was achieved with supposed parameters. The simulation results indicated that the relative error more than 5% was induced in the recovery spectrum,and approximate 8 nm spectral line deviation was occurred at the long wavelength region. The results show that the 4% optical distortion was inapplicable for LASIS although it is acceptant for common optical imaging system.